Solve the equation. Check your solution.

Question

8y - 8 = 37 - 7y

Answer 1

To solve the equation 8y - 8 = 37 - 7y, we want to isolate the variable y on one side of the equation.

First, let's combine like terms by adding 7y to both sides of the equation:

8y - 8 + 7y = 37 - 7y + 7y

This simplifies to:

15y - 8 = 37

Next, let's isolate the term with y by adding 8 to both sides of the equation:

15y - 8 + 8 = 37 + 8

This simplifies to:

15y = 45

To solve for y, we want to divide both sides of the equation by 15:

(15y)/15 = 45/15

This simplifies to:

y = 3

To check our solution, we substitute y = 3 back into the original equation:

8(3) - 8 = 37 - 7(3)

This simplifies to:

24 - 8 = 37 - 21

This further simplifies to:

16 = 16

Since both sides of the equation are equal, we can conclude that the solution is correct.